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Finding the Fourth Proportional to 562.66, 843.99 and 178.18

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Solution

The fourth proportional to 562.66, 843.99 and 178.18 is: 267.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.66 : 843.99 = 178.18 : x
  2. Step 2: Convert to fraction form
    562.66/843.99 = 178.18/x
  3. Step 3: Cross multiply
    562.66x = 843.99 × 178.18
  4. Step 4: Simplify right side
    562.66x = 150,382.14
  5. Step 5: Solve for x
    x = 150,382.14/562.66
  6. Step 6: Final answer
    x = 267.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.